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Unilorin Post-UTME Mathematics 2014 (Model questions) Question 29

Question 29

Quadratic Equations

Find the number such that when it is added to 3 and the sum is halved; the result is the same as when 5 is divided by the number

  1. A.2 or 5
  2. B.2 or 5
  3. C.−5 or 2
  4. D.−2 or −5
Show the answer and explanation

Answer: C (−5 or 2)

Explanation

(x + 3)/2 = 5/x gives x2 + 3x − 10 = 0, so x = 2 or −5.